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Finding the Third Proportional to 762,480 and 1,016,524.13

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Solution

The third proportional to 762,480 and 1,016,524.13 is: 1,355,211.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,480 : 1,016,524.13 = 1,016,524.13 : x
  2. Step 2: Convert to fraction form
    762,480/1,016,524.13 = 1,016,524.13/x
  3. Step 3: Cross multiply
    762,480x = 1,016,524.13 × 1,016,524.13
  4. Step 4: Simplify right side
    762,480x = 1,033,321,296,707.02
  5. Step 5: Solve for x
    x = 1,033,321,296,707.02/762,480
  6. Step 6: Final answer
    x = 1,355,211.02

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.